The municipality of Alveringem has a relatively low population density and the number of inhabitants has still decreased last decades. The extensive territory comprises nine rural towns or "deelgemeentes". The largest town is Alveringem proper, the chief town, located in the northeast of the municipality. During the merger of municipalities in 1971, the villages Hoogstade, Oeren and Sint-Rijkers were added to Alveringem. In 1977, Leisele and Stavele, independent municipalities at the time, were added as well. As from 1971, Leisele also comprised the villages Gijverinkhove and Izenberge; Beveren-aan-de-IJzer was a part of Stavele. So, since 1977, the new extended municipality comprised the nine rural deelgemeentes.